DISCRETE AND DENSE SUBGROUPS ACTING ON COMPLEX HYPERBOLIC SPACE
2008 ◽
Vol 78
(2)
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pp. 211-224
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Keyword(s):
AbstractIn this paper, we study the discreteness criteria for nonelementary subgroups of U(1,n;ℂ) acting on complex hyperbolic space. Several discreteness criteria are obtained. As applications, we obtain a classification of nonelementary subgroups of U(1,n;ℂ) and show that any dense subgroup of SU(1,n;ℂ) contains a dense subgroup generated by at most n elements when n≥2. We also obtain a necessary and sufficient condition for the normalizer of a discrete and nonelementary subgroup in SU(1,n;ℂ) to be discrete.
1996 ◽
Vol 16
(1)
◽
pp. 45-50
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1993 ◽
Vol 47
(2)
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pp. 199-204
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2002 ◽
Vol 31
(5)
◽
pp. 271-282
2010 ◽
Vol 81
(3)
◽
pp. 481-487
2017 ◽
Vol E100.A
(12)
◽
pp. 2764-2775
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